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Finding the Third Proportional to 215,184 and 439,869

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Solution

The third proportional to 215,184 and 439,869 is: 899,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,184 : 439,869 = 439,869 : x
  2. Step 2: Convert to fraction form
    215,184/439,869 = 439,869/x
  3. Step 3: Cross multiply
    215,184x = 439,869 × 439,869
  4. Step 4: Simplify right side
    215,184x = 193,484,737,161
  5. Step 5: Solve for x
    x = 193,484,737,161/215,184
  6. Step 6: Final answer
    x = 899,159.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.